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Finding the Fourth Proportional to 1,125.57, 1,553.30 and 628.20

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Solution

The fourth proportional to 1,125.57, 1,553.30 and 628.20 is: 866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.57 : 1,553.30 = 628.20 : x
  2. Step 2: Convert to fraction form
    1,125.57/1,553.30 = 628.20/x
  3. Step 3: Cross multiply
    1,125.57x = 1,553.30 × 628.20
  4. Step 4: Simplify right side
    1,125.57x = 975,783.06
  5. Step 5: Solve for x
    x = 975,783.06/1,125.57
  6. Step 6: Final answer
    x = 866.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.